Answer:
A. supplementary
Step-by-step explanation:
Note the angle measurements of BOC. m∠BOC = 90°
Now note that line FC is a straight line, which makes it's measurement = 180°
Subtract 90 from 180: 180 - 90 = 90°
Both are 90°, which, when combined makes a supplementary angle.
2x + 22 = 4(x + 3)...distribute thru the parenthesis
2x + 22 = 4x + 12...subtract 2x from both sides, subtract 12 from both sides
22 - 12 = 4x - 2x...simplify
10 = 2x...divide both sides by 2
10/2 = x...reduce
5 = x <==
The equation is an illustration of a linear function
The rate of change is 10 and the initial value is 25
<h3>How to determine the rate of change and the initial value</h3>
The equation is given as:

A linear equation is represented as:

Where:
- b represents the initial value
- m represents the rate
By comparison:
b = 25
m = 10
Hence, the rate of change is 10 and the initial value is 25
Read more about linear functions at:
brainly.com/question/15602982
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that:
To bet $5 that the outcome is any one of these five possibilities: 0, 00, 1, 2, 3.
Let Y represent the Amount of net profit
Then, Y= {-5, 30}
The probability distribution of Y is:
Y -5 30
P(Y=y)

a) The expected value of X is given by:
![E[Y] =\sum y P(Y=y)= 30*\dfrac{5}{38}-5*\dfrac{33}{38}](https://tex.z-dn.net/?f=E%5BY%5D%20%3D%5Csum%20y%20P%28Y%3Dy%29%3D%2030%2A%5Cdfrac%7B5%7D%7B38%7D-5%2A%5Cdfrac%7B33%7D%7B38%7D)


b)
On a bet of $5 on the number 25 we are expected to loose 24 cents.
While on a $5 bet that the outcome is any one of the numbers 0,00, or 1 we are expected to loose 39 cents.
Hence, $5 bet on the number 27 is better. Because the expected loss is less in this bet